Dynamic Event-Triggered H∞ Control for Uncertain Stochastic Singular Markov Jump Systems with Time-Varying Delays

This article studies the $H$ ∞ control problems of uncertain stochastic singular Markov jump systems with time-varying delays. By constructing a new Lyapunov functional, using the free weight matrix scheme and linear matrix inequalities technique, the conditions of stochastic admissibility in the mean-square sense for uncertain stochastic singular Markov jump systems with time-varying delays are obtained. The $H$ ∞ controller is designed based on dynamic event-triggered mechanism so that the corresponding closed-loop systems stochastically admissible in the mean-square sense and satisfies the given $H$ ∞ performance index γ. In the end, the usefulness of the intended scheme is described by a numerical example.